How unique is the expected stress-energy tensor of a massive scalar field?

Details How unique is the expected stress-energy tensor of a massive scalar field? How unique is the expected stress-energy tensor of a massive scalar field?

1998-07-07

arxiv.org/abs/gr-qc/9807015v2

Phys.Rev. D58 (1998) 124007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, no figures, latex 2e, submitted to Phys Rev D. Minor modifications and references added

Scientific paper

10.1103/PhysRevD.58.124007

We show that the set of ambiguities in the renormalized expected stress-energy tensor allowed by the Wald axioms is much larger for a massive scalar field (an infinite number of free parameters) than for a massless scalar field (two free parameters). We also use the closed-time-path effective action formalism of Schwinger to calculate the expected value of the stress-energy tensor in the incoming vacuum state, for a massive scalar field, on any spacetime which is a linear perturbation off Minkowski spacetime. This result generalizes an earlier result of Horowitz and also Jordan in the massless case, and can be used as a testbed for comparing different calculational methods.

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